JSON/M10-SPRINT.JSON

{
  "metadata": {
    "date": "2026-03-10",
    "sprint": 1
  },
  "basin": {
    "n_valid": 8991,
    "mean_steps": 4.678678678678678,
    "max_steps": 7,
    "convergence_rate": 1.0
  },
  "corrected_test": {
    "kaprekar_fraction": 0.09693451072659316,
    "null_fraction": 0.0625,
    "enrichment": 1.5509521716254906,
    "z_stat": 29.79603585548622,
    "p_value": 0.0,
    "significant": true
  },
  "verdict": "SIGNIFICANT BUT MUNDANE",
  "mechanism": "4/6=0.667 in 6174 (the attractor). All paths visit 6174 \u2014 enrichment reflects attractor digits, not deep geometric structure.",
  "6174_ratios_in_target": [
    "4/6 = 0.6667 (= 2/3)"
  ],
  "genuine_open_questions": [
    "Algebraic structure of Kaprekar map K:N->N",
    "Why no 5-digit fixed point?",
    "Mod-9 invariance: elegant, worth formalizing",
    "Basin boundary geometry in digit space"
  ]
}